TRICKY MATHS PUZZLES – PART – I

Here in this blog we are discussing about TRICKY MATHS PUZZLES – PART – I . It is illustrated below :

1. The bigger circle radius is 4 cm and the medium circle radius is 2 cm . The line tangent to all the circles and the three circles touch each other . Then what is the radius of the smallest circle ?

SOLUTION :

Let the radius of the bigger ( orange ) circle be 4 cm and the medium ( blue ) circle

be 2 cm

Here r is the radius of the smaller (red ) circle

The distance( X ) between the orange and the red circle will be obtained from having the distances (4 + r) and ( 4 – r ) and the corresponding distance ( Y ) blue and red circles from ( 2 + r ) and ( 2 – r )